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880130889 = 32112292312
BaseRepresentation
bin110100011101011…
…011101101001001
32021100010021121100
4310131123231021
53300303142024
6223200132013
730544663161
oct6435335511
92240107540
10880130889
114118a1400
12206907009
1311045aa11
1484c675a1
15524047c9
hex3475bb49

880130889 has 81 divisors (see below), whose sum is σ = 1495417287. Its totient is φ = 498405600.

The previous prime is 880130861. The next prime is 880130891. The reversal of 880130889 is 988031088.

The square root of 880130889 is 29667.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 461519289 + 418611600 = 21483^2 + 20460^2 .

It is not a de Polignac number, because 880130889 - 213 = 880122697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (880130809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28391304 + ... + 28391334.

Almost surely, 2880130889 is an apocalyptic number.

880130889 is the 29667-th square number.

880130889 is the 14834-th centered octagonal number.

It is an amenable number.

880130889 is a deficient number, since it is larger than the sum of its proper divisors (615286398).

880130889 is a wasteful number, since it uses less digits than its factorization.

880130889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The cubic root of 880130889 is about 958.3314799779.

It can be divided in two parts, 880 and 130889, that added together give a square (131769 = 3632).

The spelling of 880130889 in words is "eight hundred eighty million, one hundred thirty thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 29 31 33 87 93 99 121 261 279 319 341 363 841 899 957 961 1023 1089 2523 2697 2871 2883 3069 3509 3751 7569 8091 8649 9251 9889 10527 10571 11253 26071 27753 27869 29667 31581 31713 33759 78213 83259 83607 89001 95139 101761 108779 116281 234639 250821 286781 305283 306559 326337 348843 808201 860343 915849 919677 979011 1046529 2424603 2581029 2759031 3154591 3372149 7273809 8890211 9463773 10116447 26670633 28391319 30349341 80011899 97792321 293376963 880130889